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Finding the Fourth Proportional to 496.59, 744.27 and 352

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Solution

The fourth proportional to 496.59, 744.27 and 352 is: 527.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.59 : 744.27 = 352 : x
  2. Step 2: Convert to fraction form
    496.59/744.27 = 352/x
  3. Step 3: Cross multiply
    496.59x = 744.27 × 352
  4. Step 4: Simplify right side
    496.59x = 261,983.04
  5. Step 5: Solve for x
    x = 261,983.04/496.59
  6. Step 6: Final answer
    x = 527.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.